1961582751801 has 24 divisors (see below), whose sum is σ = 2887099133256. Its totient is φ = 1282940505600.

The previous prime is 1961582751769. The next prime is 1961582751809. The reversal of 1961582751801 is 1081572851691.

1961582751801 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 582 + 7 + 51 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 369027090576 + 1592555661225 = 607476^2 + 1261965^2 .

It is not a de Polignac number, because 1961582751801 - 2⁵ = 1961582751769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1961582751809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5749471 + ... + 6081083.

It is an arithmetic number, because the mean of its divisors is an integer number (120295797219).

Almost surely, 2^{1961582751801} is an apocalyptic number.

It is an amenable number.

1961582751801 is a deficient number, since it is larger than the sum of its proper divisors (925516381455).

1961582751801 is a wasteful number, since it uses less digits than its factorization.

1961582751801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344073 (or 344070 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 1961582751801 in words is "one trillion, nine hundred sixty-one billion, five hundred eighty-two million, seven hundred fifty-one thousand, eight hundred one".